86381452080 has 800 divisors, whose sum is σ = 384236835840. Its totient is φ = 17460541440.

The previous prime is 86381452033. The next prime is 86381452103. The reversal of 86381452080 is 8025418368.

86381452080 is a `hidden beast` number, since 8 + 6 + 38 + 14 + 520 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18459181 + ... + 18463859.

Almost surely, 2^86381452080 is an apocalyptic number.

86381452080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86381452080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192118417920).

86381452080 is an abundant number, since it is smaller than the sum of its proper divisors (297855383760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86381452080 is a wasteful number, since it uses less digits than its factorization.

86381452080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4759 (or 4744 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 86381452080 in words is "eighty-six billion, three hundred eighty-one million, four hundred fifty-two thousand, eighty".